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Finding the Third Proportional to 46,262 and 100,300

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Solution

The third proportional to 46,262 and 100,300 is: 217,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,262 : 100,300 = 100,300 : x
  2. Step 2: Convert to fraction form
    46,262/100,300 = 100,300/x
  3. Step 3: Cross multiply
    46,262x = 100,300 × 100,300
  4. Step 4: Simplify right side
    46,262x = 10,060,090,000
  5. Step 5: Solve for x
    x = 10,060,090,000/46,262
  6. Step 6: Final answer
    x = 217,459.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.